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212212152 = 233222313217
BaseRepresentation
bin11001010011000…
…01100110111000
3112210022111100100
430221201212320
5413311242102
633020235400
75154526215
oct1451414670
9483274310
10212212152
11a9874149
125b09bb60
1334c71a29
1420280b0c
151396ca1c
hexca619b8

212212152 has 48 divisors (see below), whose sum is σ = 577362240. Its totient is φ = 70414848.

The previous prime is 212212151. The next prime is 212212177. The reversal of 212212152 is 251212212.

It is a super-2 number, since 2×2122121522 = 90067994912942208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212212151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9448 + ... + 22664.

It is an arithmetic number, because the mean of its divisors is an integer number (12028380).

Almost surely, 2212212152 is an apocalyptic number.

It is an amenable number.

212212152 is an abundant number, since it is smaller than the sum of its proper divisors (365150088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212212152 is a wasteful number, since it uses less digits than its factorization.

212212152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13452 (or 13445 counting only the distinct ones).

The product of its digits is 160, while the sum is 18.

The square root of 212212152 is about 14567.5032864249. The cubic root of 212212152 is about 596.4720297011.

Adding to 212212152 its reverse (251212212), we get a palindrome (463424364).

The spelling of 212212152 in words is "two hundred twelve million, two hundred twelve thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 223 446 669 892 1338 1784 2007 2676 4014 5352 8028 13217 16056 26434 39651 52868 79302 105736 118953 158604 237906 317208 475812 951624 2947391 5894782 8842173 11789564 17684346 23579128 26526519 35368692 53053038 70737384 106106076 212212152